What is the area of the largest circle which can be inscribed in a square of side 28 cm?(Take $π =\frac{22}{7}$)

616 cm²

We know that,

Area of square = side²

Area of circle = πr² 

We have,

Area of square = 784 cm²

= s² = 784 cm²

= s = 28 cm

Here we also know that,

Side = Diameter of circle = 28 cm

Radius of circle = \(\frac{28}{2}\) cm = 14 cm

Area of the circle = πr² = \(\frac{22}{7}\) × 14 × 14

= 616 cm²